What is the inverse of f(x)=(4x-5)/(2-x) ?

The inverse of f(x)=(4x-5)/(2-x) is -(-5-2x)/(4+x)

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inverse of f(x)=(4x-5)/(2-x)

inverse

f (x) = \frac{4 x - 5}{2 - x}

- \frac{- 5 - 2 x}{4 + x}

Solution steps

y = \frac{4 x - 5}{2 - x}

Replace

x

with

y

x = \frac{4 y - 5}{2 - y}

Solve for

y, x = \frac{4 y - 5}{2 - y}

- \frac{- 5 - 2 x}{4 + x}

f (x) = \frac{( 4 x - 9 )}{x + 2}

13 sin (x) + 1

f (x) = \frac{1}{2} (2)^{x}

cos (- \frac{9}{161})

f (x) = 1 0^{(- 1 \cdot \frac{( x + 5 )}{6})}

What is the inverse of f(x)=(4x-5)/(2-x) ?
The inverse of f(x)=(4x-5)/(2-x) is -(-5-2x)/(4+x)